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In this talk I present the current status of a precise first-principles calculation of the quark connected, quark disconnected, and leading QED and strong isospin-breaking contributions to the leading-order hadronic vacuum polarization by…

High Energy Physics - Lattice · Physics 2018-04-18 Christoph Lehner

This talk summarizes the recent development in the evaluation of the leading order hadronic contributions to the running of the QED fine structure constant \alpha(s), at $s=M_{\rm Z}^2$, and to the anomalous magnetic moments of the muon…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Hoecker

Hadron masses can be decomposed as a sum of components which are defined through hadronic matrix elements of QCD operators. The components consist of the quark mass term, the quark energy term, the glue energy term and the trace anomaly…

High Energy Physics - Lattice · Physics 2014-11-05 Yi-Bo Yang , Ying Chen , Terrence Draper , Ming Gong , Keh-Fei Liu , Zhaofeng Liu , Jian-Ping Ma

Motivated by recent progress of theory and experiment on the anomalous magnetic moment of the electron, a_e, we update the hadronic contributions to a_e. Using our up-to-date compilation of e^+ e^- \to hadrons data, we find the leading…

High Energy Physics - Phenomenology · Physics 2015-06-11 Daisuke Nomura , Thomas Teubner

I present a new data driven update of the hadronic vacuum polarization effects for the muon and the electron $g-2$. For the leading order contributions I find $a_\mu^{\mathrm{had}(1)}=(686.99\pm 4.21)[687.19\pm 3.48]\times 10^{-10}$ based…

High Energy Physics - Phenomenology · Physics 2016-06-22 Fred Jegerlehner

A new QCD sum rule determination of the leading order hadronic vacuum polarization contribution to the anomalous magnetic moment of the muon, $a_{\mu}^{\rm hvp}$, is proposed. This approach combines data on $e^{+}e^{-}$ annihilation into…

High Energy Physics - Phenomenology · Physics 2017-10-25 C. A. Dominguez , H. Horch , B. Jäger , N. F. Nasrallah , K. Schilcher , H. Spiesberger , H. Wittig

The cross section of the process $e^+e^-\to\pi^+\pi^-$ has been measured in the center-of-mass energy range from 0.32 to 1.2 GeV with the CMD-3 detector at the electron-positron collider VEPP-2000. The measurement is based on an integrated…

We compute the Adler function on the lattice from vacuum polarization data with twisted boundary conditions using numerical derivatives. The study is based on CLS ensembles with two flavours of $O(a)$ improved Wilson fermions. We…

We present a first model-independent calculation of $\pi\pi$ intermediate states in the hadronic-light-by-light (HLbL) contribution to the anomalous magnetic moment of the muon $(g-2)_\mu$ that goes beyond the scalar QED pion loop. To this…

High Energy Physics - Phenomenology · Physics 2017-06-13 Gilberto Colangelo , Martin Hoferichter , Massimiliano Procura , Peter Stoffer

We calculate finite volume effects on the pion masses and decay constant in twisted mass lattice QCD (tmLQCD) at finite lattice spacing. We show that the lighter neutral pion in tmLQCD gives rise to finite volume effects that are…

High Energy Physics - Lattice · Physics 2014-11-20 Gilberto Colangelo , Urs Wenger , Jackson M. S. Wu

We review recent developments concerning the hadronic light-by-light scattering contribution to the anomalous magnetic moment of the muon. We first discuss why fully off-shell hadronic form factors should be used for the evaluation of this…

High Energy Physics - Phenomenology · Physics 2015-05-18 Andreas Nyffeler

We present lattice QCD calculations of the odd Mellin moments of pion valence-quark generalized parton distribution (GPD) up to fifth order, $\langle x^4\rangle$, and for the skewness range $[-0.33, 0]$ using operator product expansion of…

High Energy Physics - Lattice · Physics 2026-01-22 Xiang Gao , Swagato Mukherjee , Qi Shi , Fei Yao , Yong Zhao

We present a new, completely revised calculation of the muon anomalous magnetic moment, $a_\mu=(g_{\mu}-2)/2$, comparing it with the more recent experimental determination of this quantity; this furnishes an important test of theories of…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. F. de Troconiz , F. J. Yndurain

We present a lattice-QCD calculation of the pion distribution amplitudes using large-momentum effective theory (LaMET). Our calculation is carried out using five ensembles with 2+1+1 flavors of highly improved staggered quarks (HISQ),…

High Energy Physics - Lattice · Physics 2021-08-11 Nicholas Juliano , Rui Zhang , Carson Honkala , Huey-Wen Lin

We present a high precision lattice calculation of the average up/down, strange and charm quark masses performed with Nf=2 twisted mass Wilson fermions. The analysis includes data at four values of the lattice spacing and pion masses as low…

High Energy Physics - Lattice · Physics 2015-03-17 ETM Collaboration , B. Blossier , P. Dimopoulos , R. Frezzotti , V. Lubicz , M. Petschlies , F. Sanfilippo , S. Simula , C. Tarantino

We present the current Standard Model (SM) prediction for the muon anomalous magnetic moment, $a_\mu$, updating the first White Paper (WP20) [1]. The pure QED and electroweak contributions have been further consolidated, while hadronic…

High Energy Physics - Phenomenology · Physics 2025-09-12 R. Aliberti , T. Aoyama , E. Balzani , A. Bashir , G. Benton , J. Bijnens , V. Biloshytskyi , T. Blum , D. Boito , M. Bruno , E. Budassi , S. Burri , L. Cappiello , C. M. Carloni Calame , M. Cè , V. Cirigliano , D. A. Clarke , G. Colangelo , L. Cotrozzi , M. Cottini , I. Danilkin , M. Davier , M. Della Morte , A. Denig , C. DeTar , V. Druzhinin , G. Eichmann , A. X. El-Khadra , E. Estrada , X. Feng , C. S. Fischer , R. Frezzotti , G. Gagliardi , A. Gérardin , M. Ghilardi , D. Giusti , M. Golterman , S. Gonzàlez-Solís , S. Gottlieb , R. Gruber , A. Guevara , V. Gülpers , A. Gurgone , F. Hagelstein , M. Hayakawa , N. Hermansson-Truedsson , A. Hoecker , M. Hoferichter , B. -L. Hoid , S. Holz , R. J. Hudspith , F. Ignatov , L. Jin , N. Kalntis , G. Kanwar , A. Keshavarzi , J. Komijani , J. Koponen , S. Kuberski , B. Kubis , A. Kupich , A. Kupść , S. Lahert , S. Laporta , C. Lehner , M. Lellmann , L. Lellouch , T. Leplumey , J. Leutgeb , T. Lin , Q. Liu , I. Logashenko , C. Y. London , G. López Castro , J. Lüdtke , A. Lusiani , A. Lutz , J. Mager , B. Malaescu , K. Maltman , M. K. Marinković , J. Márquez , P. Masjuan , H. B. Meyer , T. Mibe , N. Miller , A. Miramontes , A. Miranda , G. Montagna , S. E. Müller , E. T. Neil , A. V. Nesterenko , O. Nicrosini , M. Nio , D. Nomura , J. Paltrinieri , L. Parato , J. Parrino , V. Pascalutsa , M. Passera , S. Peris , P. Petit Rosàs , F. Piccinini , R. N. Pilato , L. Polat , A. Portelli , D. Portillo-Sánchez , M. Procura , L. Punzi , K. Raya , A. Rebhan , C. F. Redmer , B. L. Roberts , A. Rodríguez-Sánchez , P. Roig , J. Ruiz de Elvira , P. Sánchez-Puertas , A. Signer , J. W. Sitison , D. Stamen , D. Stöckinger , H. Stöckinger-Kim , P. Stoffer , Y. Sue , P. Tavella , T. Teubner , J. -N. Toelstede , G. Toledo , W. J. Torres Bobadilla , J. T. Tsang , F. P. Ucci , Y. Ulrich , R. S. Van de Water , G. Venanzoni , S. Volkov , G. von Hippel , G. Wang , U. Wenger , H. Wittig , A. Wright , E. Zaid , M. Zanke , Z. Zhang , M. Zillinger , C. Alexandrou , A. Altherr , M. Anderson , C. Aubin , S. Bacchio , P. Beltrame , A. Beltran , P. Boyle , I. Campos Plasencia , I. Caprini , B. Chakraborty , G. Chanturia , A. Crivellin , A. Czarnecki , L. -Y. Dai , T. Dave , L. Del Debbio , K. Demory , D. Djukanovic , T. Draper , A. Driutti , M. Endo , F. Erben , K. Ferraby , J. Finkenrath , L. Flower , A. Francis , E. Gámiz , J. Gogniat , A. V. Grebe , S. Gündogdu , M. T. Hansen , S. Hashimoto , H. Hayashii , D. W. Hertzog , L. A. Heuser , L. Hostetler , X. T. Hou , G. S. Huang , T. Iijima , K. Inami , A. Jüttner , R. Kitano , M. Knecht , S. Kollatzsch , A. S. Kronfeld , T. Lenz , G. Levati , Q. M. Li , Y. P. Liao , J. Libby , K. F. Liu , V. Lubicz , M. T. Lynch , A. T. Lytle , J. L. Ma , K. Miura , K. Möhling , J. Muskalla , F. Noël , K. Ottnad , P. Paradisi , C. T. Peterson , A. Pich , S. Pitelis , S. Plura , A. Price , D. Radic , A. Radzhabov , A. Risch , S. Romiti , S. Sahoo , F. Sannino , H. Schäfer , Y. Schelhaas , S. I. Serednyakov , O. Shekhovtsova , J. N. Simone , S. Simula , E. P. Solodov , F. M. Stokes , M. Vanderhaeghen , A. Vaquero , N. Vestergaard , W. P. Wang , Z. Wąs , K. Yamashita , Y. B. Yang , T. Yoshioka , C. Z. Yuan , A. S. Zhevlakov

The hadronic light-by-light contribution to a_{mu}, the anomalous magnetic moment of the muon, is discussed from the point of view of an effective low-energy theory. As an application, the coefficient of the leading logarithm arising from…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Knecht , A. Nyffeler , M. Perrottet , E. de Rafael

We present an update on our lattice calculations of the Mellin moments of PDFs and GPDs for the pion and kaon, using momentum-boosted meson states. In particular, we focus on the calculation of the scalar and tensor local operators, and the…

High Energy Physics - Lattice · Physics 2024-01-09 Joseph Delmar , Constantia Alexandrou , Simone Bacchio , Ian Cloët , Martha Constantinou , Giannis Koutsou

We reevaluate the hadronic contribution to the running of the QED fine structure constant alpha(s) at s = M_Z^2. We use data from e+e- annihilation and tau decays at low energy and at the qq-bar thresholds, where resonances occur. Using…

High Energy Physics - Phenomenology · Physics 2016-02-17 M. Davier , A. Hoecker

A comprehensive as of November 2003 and evaluated data compilation on sigma_tot(e+ e- --> hadrons) was used to estimate the lowest order hadronic contribution to the muon anomalous magnetic moment. The preliminary result is a_mu(had, LO) =…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. V. Ezhela , S. B. Lugovsky , O. V. Zenin